Finding the Third Proportional to 84,224 and 184,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   84,224 : 184,273.50 = 184,273.50 : x
2. Step 2: Convert to fraction form
   84,224/184,273.50 = 184,273.50/x
3. Step 3: Cross multiply
   84,224x = 184,273.50 × 184,273.50
4. Step 4: Simplify right side
   84,224x = 33,956,722,802.25
5. Step 5: Solve for x
   x = 33,956,722,802.25/84,224
6. Step 6: Final answer
   x = 403,171.58